Involutive Solutions and Commutator Representations of the Dirac Hierarchy

ConsidertheDiracspectralproblemwherep,qaretwopotentials,Aisaspectralparameter.L*isaninjectivehomomorphism.ThefunctionalgradientVA=(2RR,ri-of)TofeigenvalueAwithrespecttop,qsatisfiesarecalledtheLenard'soperatorpairof(1).Theorem1LetG(1)(x),G(z)(x)betwoarbitarysmoothfunctions,G=(G(1),G(2))".ThenthefollowingoperatorequationwithrespecttoV=V(G),possessestheoperatorsolutionwhereL.'-jisthecommutator;L=L(p,q),K,Jaredefinedby(1)l(4)respectively.ProofSubstitute(6)into(5),directlycalculate.Defin…     

Third-Order Optical Nonlinearity in Novel Porphyrin Dimers

We investigate the third-order optical nonlinearities in four novel porphyrin dimers （dimers A to D） and a monomeric porphyrin H2 CPTPP measured by using the single-beam z-scan technique with a pulsed Q-switched Nd：YAG nanosecond laser at 532nm. All the samples show strong excited state absorption （ESA） and high value of Х^（3） in the ns domain at this wavelength. We perform a comparison between dimer A and its monomer H2 CPTPP in their third-order optical nonlinearity, and discuss the relationships between the values of Х^（3） and the different bridging groups for all the dimers.     

含小单孢菌有机肥料肥效试验研究

为验证含小单孢菌有机肥料在青菜生产上的肥效,在华北平原平行异地两处进行实验.供试作物为青菜(品种上海青);供试有机肥料为小单孢菌有机肥料,其营养成分有机质≥45%、有效养分(N+P2O5+K2O)≥5%.常规施肥为667 m2底施复合肥50 kg,加尿素15 kg.试验采用配对设计的方法,设两个处理,4次重复,小区面积20 m2.试验组为常规施肥加667 m2底施小单孢菌有机肥料20 kg;对照组为常规施肥.结果表明,小单孢菌有机肥料能提高青菜的株高、单株叶片数和单株重.露地平均每667 m2增产73.7 kg,增产5.3%,产量差异达到显著水平;大棚平均每667 m2增产300 kg,增产10.1%,统计分析产量差异达到极显著水平.     

高速公路的养护要点研究论述

甘肃省高速公路目前处于迅猛发展的态势中,预计到2030年高速公路建成通车的总里程将达到8 000 km.但是甘肃省高速公路养护工作却暴露出滞后性的弊端,例如内部体制尚不健全、养护机制存在诸多缺陷、养护定额与规范不完整等,严重影响制约着调整公路的建设运营工作.基于此,本论述提出了完善安全生产体制、重视巡查巡检工作、实施机械化安全养护管理模式等措施,旨在使甘肃省高速公路的运营状况与服务水平被精准地评价,有效地防止设施病害的出现,第一时间对损坏的设施采取修整工作,从而为高速公路良性运营奠定基础.     

准静态绝热过程的简单实验实现及相关物理量的计算

介绍了利用连通器及水密封原理实现气体状态改变的简单实验装置. 根据测得的气体压缩过程的压强曲线及简单的理论分析,得出利用该装置能实现准静态绝热过程的结论;同时,对实验装置的潜在应用进行了探讨,利用初步的实验数据计算的各热学量与对应的理论值均符合很好.     

Pulsed microwave damage trend of bipolar transistor as a function of pulse parameters

In the present paper we conduct a theoretical study of the thermal accumulation effect of a typical bipolar transistor caused by high power pulsed microwave (HPM), and investigate the thermal accumulation effect as a function of pulse repetition frequency (PRF) and duty cycle. A study of the damage mechanism of the device is carried out from the variation analysis of the distribution of the electric field and the current density. The result shows that the accumulation temperature increases with PRF increasing and the threshold for the transistor is about 2 kHz. The response of the peak temperature induced by the injected single pulses indicates that the falling time is much longer than the rising time. Adopting the fitting method, the relationship between the peak temperature and the time during the rising edge and that between the peak temperature and the time during the falling edge are obtained. Moreover, the accumulation temperature decreases with duty cycle increasing for a certain mean power.     

Effect of the nonlinearity of the CCD in Fourier transform profilometry on spectrum overlapping and measurement accuracy

In Fourier transform profilometry (FTP), we must restrain spectrum overlapping caused by the nonlinearity of the charge coupled device (CCD) and increase the measurement accuracy of the object shape. Firstly, the causes of producing higher-order spectrum components and inducing spectrum overlapping are analysed theoretically, and a simple physical explanation and analytical deduction are given. Secondly, aiming to suppress spectrum overlapping and improve measurement accuracy, the influence of spatial carrier frequency of projection grating on them is analysed. A method of increasing the spatial carrier frequency of projection grating to restrain or reduce the spectrum overlapping significantly is proposed. We then analyze the mechanism of how the spectrum overlapping is reduced. Finally, the simulation results and experimental measurements verify the correction of the proposed theory and method.     

D—AKNS族的换位表示

本文根据曹策问教授的想法,求得了与D-AKNS族发展方程相联系的特征值之泛函梯度与Lenard算子对;并由此得到了D-AKNS族非线性发展方程的换位表示。文末还讨论了换位表示与定态D-AKNS方程之间的关系.